It is known that the semigroup S(t) corresponding to the sum A + B of two non-commuting generators, each having semigroups S/sub A/(t), respectively S/sub B/(t), is given by the Trotter product S/sub A/(t)*S/sub B/(t) = lim n..-->..infinity(S/sub A/(t/n)S/sub B/(t/n))/sup n/ provided the latter converges. We apply this principle in treating a quasilinear system with nonlinear coupling. The conjecture is that some hydrodynamic systems may have semigroups. 9 refs.
DOE contract number: W-7405-ENG-36 OSTI Identifier 7043775 Research organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States).